Comparing and Scaling
The Big Idea
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.

Investigation 1: Making Comparisons
Essential Question: What methods are there for comparing things?1.1 Writing Ads - Bonny
1.2 Targeting an Audience - Sol
1.3 Getting the Message Across - Matthew
Mathematical Reflections, p. 15 - Josh
Investigation 2: Comparing by Finding Percents
Essential Question:
What methods are there for comparing things?2.1 Comparing Leisure Activities - Matthew
2.2 Comparing Your Class to the Nation - Josh
Mathematical Reflections, p. 25 - Tori
Investigation 3: Comparing by Using Ratios
Essential Question:
What methods are there for comparing things?3.1 Mixing Juice - Ji Hyae
3.2 Helping the Cook -
S.H.
3.3 Sharing Pizza - Laila
Mathematical Reflections, p. 36 - Katie
Investigation 4: Comparing by Finding Rates
Essential Question:
What methods are there for comparing things?4.1 Comparing Fuel Economy - Alena
4.2 Using Unit Rate - Dom
4.3 Solving Problems with Rates - Laila
4.4 Buying Beads - Solomon
Mathematical Reflections, p. 51 - Rishta
Investigation 5: Estimating Populations & Densities
Essential Question:
What methods are there for comparing things?5.1 Estimating the Size of a Crowd - Rishta
5.2 Estimating a Deer Population - Jorg
5.3 Finding Population Densities - Bonny
5.4 Comparing the Dakotas - Tori
5.5 Predicting Traffic Jams - Katie
Mathematical Reflections, p. 64 - Abinta
Investigation 6: Choosing Strategies
Essential Question:
What methods are there for comparing things?6.1 Scaling Up or Down -
6.2 Using Rules of Thumb -
6.3 Selecting Delegates -
Mathematical Reflections, p. 81 -




Comparing and Scaling Vocabulary



Decimal
Difference
Equation
Equivalent ratio
Fraction
Percent
Population Density
Proportion
Rate
Ratio
Scale
Scaling
Scale Factor
Unit Rate
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